# How to Make a Polyhedron in GeoGebra

You can use `GeoGebra` to draw polyhedra:

`GeoGebra` Instruction 1

### DrawingaTetrahedron

1.
Open `Algebra View` and `Graphics View` under  `View` in  `Menu`.
2.
Select the tool `Regular polygon` , which is the fifth item in the `Toolbar` and the second tool from that list.
3.
Draw an equilateral triangle by clicking on two points in `Graphics View`. These will be two of the vertices of the triangle. When `GeoGebra` asks you how many vertices you want, type `3`.
4.
Open `3D Graphics` and close `Graphics View` under  `View` in  `Menu`.
5.
Click on an empty space in `3D Graphics` to update `Toolbar` with new tools. Select the tool `Tetrahedron`  from the ninth item in the `Toolbar` (`Pyramid` ) and the seventh tool from that list.
6.
Click on the triangle you made in Step 4.

The tetrahedron will now appear in `3D Graphics`. The volume of the tetrahedron will appear in `Algebra View`.

`GeoGebra` Instruction 2

### DrawinganOctahedron

1.
Open `Algebra View` and `Graphics View` under  `View` in  `Menu`.
2.
Select the tool `Regular polygon` , which is the fifth item in the `Toolbar` and the second tool from that list.
3.
Draw an equilateral triangle by clicking on two points in `Graphics View`. This will be two of the vertices of the triangle. When `GeoGebra` asks you how many vertices you want, type `3`. Pay attention to the name of the triangle, since it will be used in a later step. `GeoGebra` will call it `poly1` in a new file.
4.
Open `3D Graphics` and close `Graphics View` under  `View` in  `Menu`.
5.
In new row in `Algebra View`, type in

Octahedron

and select

Octahedron(<Equilateral Triangle>)

among the options that appear. Replace `<Equilateral Triangle>` with the name of your triangle from Step 3 in Item 6.

The octahedron will now appear in `3D Graphics`. The volume of the octahedron will appear in `Algebra View`.

`GeoGebra` Instruction 3

### DrawinganIcosahedron

1.
Follow Steps 1–4 in Item 5.
2.
In a new row in `Algebra View`, type in

Icosahedron

and select

Icosahedron(<Equilateral Triangle>)

among the options that appear. Replace `<Equilateral Triangle>` with the name of your triangle from Step 3 in Item 5.

The icosahedron will now appear in `3D Graphics`. The volume of the icosahedron will appear in `Algebra View`.

`GeoGebra` Instruction 4

### DrawingaCube

1.
Open `Algebra View` and `Graphics View` under  `View` in  `Menu`.
2.
Select the tool `Regular polygon` , which is the fifth item in the `Toolbar` and the second tool from that list.
3.
Draw a square by clicking on two points in `Graphics View`. These will be two of the vertices of the square. When `GeoGebra` asks you how many vertices you want, type `4`.
4.
Open `3D Graphics` and close `Graphics View` under  `View` in  `Menu`.
5.
Click on an empty space in `3D Graphics` to update `Toolbar` with new tools. Select the tool `Cube`  from the ninth item in the `Toolbar` (`Pyramid` ) and the eighth tool from that list.
6.
Click on the square you made in Step 3.

The cube will now appear in `3D Graphics`. The volume of the cube will appear in `Algebra View`.

`GeoGebra` Instruction 5

1.
Open `Algebra View` and `Graphics View` under  `View` in  `Menu`.
2.
Select the tool `Regular polygon` , which is the fifth item in the `Toolbar` and the second tool from that list.
3.
Draw a regular pentagon by clicking on two points in `Graphics View`. These will be two of the vertices of the pentagon. When `GeoGebra` asks you how many vertices you want, type `5`. Pay attention to the name of the pentagon, since it will be used in a later step. `GeoGebra` will call it `poly1` in a new file.
4.
Open `3D Graphics` and close `Graphics View` under  `View` in  `Menu`.
5.
In a new row in `Algebra View`, type in

Dodecahedron

and select

Dodecahedron(<Regular Pentagon>)

among the options that appear. Replace `<Regular Pentagon>` with the name of the pentagon you made in Step 3.

The dodecahedron will appear in `3D Graphics`. The volume of the dodecahedron will appear in `Algebra View`.